Linear transformation T defined by T(x) = Ax, %3D -1 1 where A = 1 -2 -3. Determine the rank and nullity of it. (a) rank is 1, nullity is 2 (b) rank is 1, nullity is 1 (c) rank is 2, nullity is 2 (d) rank is 2, nullity is 1

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A: Yes, L is a linear transformation. we can prove this as follow